一种基于代价函数的相位估计算法
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摘要
针对BPSK,QPSK,OQPSK信号的相位估计问题,提出了一种基于代价函数的相位估计算法。该算法不依赖符号同步信息,直接使用零中频信号进行相位估计。构造了一个代价函数并从理论上推导了代价函数与信号相位的关系,给出了基于代价函数的相位估计算法的实现方法,分析了算法的性能以及计算的复杂度。仿真结果表明,该算法能有效地估计BPSK,QPSK,OQPSK信号的相位,估计精度受搜索步长、信号长度和信噪比等参数的影响。
In view of the phase estimation of BPSK/QPSK/OQPSK signal,this paper proposes a phase estimation algorithm based on cost function.This algorithm utilizes zero intermediate-frequency signals without depending on symbol synchronization information to carry out phase estimation.Firstly,a cost function is constructed and the relationship between the cost function and the phase of signal is derived theoretically.Then the implementation method of phase estimation algorithm based on cost function is given.The performance and computational complexity of the method are analyzed.Lastly,the simulation results show that the algorithm can estimate the phase of BPSK/QPSK/OQPSK signal effectively and the correctness of the phase estimation is affected by search step,signal length and signal to noise ratio.
In view of the phase estimation of BPSK/QPSK/OQPSK signal,this paper proposes a phase estimation algorithm based on cost function.This algorithm utilizes zero intermediate-frequency signals without depending on symbol synchronization information to carry out phase estimation.Firstly,a cost function is constructed and the relationship between the cost function and the phase of signal is derived theoretically.Then the implementation method of phase estimation algorithm based on cost function is given.The performance and computational complexity of the method are analyzed.Lastly,the simulation results show that the algorithm can estimate the phase of BPSK/QPSK/OQPSK signal effectively and the correctness of the phase estimation is affected by search step,signal length and signal to noise ratio.
引文
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[2] 付丽慧.PSK信号载波相位估计的最佳观测长度[J].无线电通信技术,2007,33(4):11-12.
[3] 雷明海,袁晓,幸锋,等.载波相位恢复算法研究[J].成都信息工程学院学报,2009,24(6):561-563.
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[5] VITERBI A J,VITERBI A M.Nonlinear Estimation of PSK-modulated Carrier Phase with Applications to Burst Digital Transmission[J].IEEE Transactions on Information Theory,1983,IT-29(7):543-551.
[6] 贺军,郭伟.一种新的消除V&V算法载波相位模糊的方法[J].电子与信息学报,2006,28(5):836-839.
[7] 王戈,沈智翔,于宏毅.基于期望最大化算法的联合符号检测和相位估计算法[J].吉林大学学报(工学版),2014,44(2):497-501.
[8] MOENECLAEY M,JONGHE G D.ML-oriented NDA Carrier Synchronization for General Rotationally Symmetric Signal Constellations[J].IEEE Transactions on Communications,1994,42(8):2531-2533.
[9] CHEN L,KUSAKA H,KOMINAMI M.Blind Phase Recovery in QAM Communication Systems Using Higher Order Statistics[J].IEEE Signal Processing Letters,1996,3(5):147-149.
[10] GEORGHIADES C N.Blind Carrier Phase Acquisition for QAM Constellations[J].IEEE Transactions on Communications,1997,45(11):1477-1486.
[11] 冯祥,李建东.基于循环累积量的QAM信号载波相位估计算法[J].国防科技大学学报,2006,28(1):48-76.
[12] 许华,郭建新,郑辉.高阶QAM 信号的多级盲相位估计方法及其性能仿真[J].系统仿真学报,2004,16(7):1408-1416.
[13] 蒋立平,付锐,吉训生.全数字载波捕获算法[J].南京理工大学学报,2002,16(1):15-19.
[14] 许华,王巍,郑辉.高阶QAM信号的盲载波相位估计[J].无线电通信技术,2004,30(3):53-56.
[15] DAMICO A A,DANDREA A N.Feedforward Joint Phase and Timing Estimation with OQPSK Modulation[J].IEEE Transactions On Vehicular Technology,1999,48(3):824-832.
[16] 赵树杰,赵建勋.信号检测与估计理论[M].北京:清华大学出版社,2005:260-264.
[17] DANDREA A N,MENGALI U,REGGIANNINI R.The Modified Cramer-Rao Bound and Its Application to Synchronization Problems[J].IEEE Transactions on Communications,1994,42(2):1391-1399.
[18] TAVARES G N,TAVARES L M,PETROLINO A.On the True Cramer-Rao Lower Bound for Data-aided Carrier-phase-independent Frequency Offset and Symbol Timing Estimation[J].IEEE Transactions on Communications,2010,58(2):442-447.
[2] 付丽慧.PSK信号载波相位估计的最佳观测长度[J].无线电通信技术,2007,33(4):11-12.
[3] 雷明海,袁晓,幸锋,等.载波相位恢复算法研究[J].成都信息工程学院学报,2009,24(6):561-563.
[4] 梁聪.短时突发信号解调算法研究[D].郑州:解放军信息工程大学,2012.
[5] VITERBI A J,VITERBI A M.Nonlinear Estimation of PSK-modulated Carrier Phase with Applications to Burst Digital Transmission[J].IEEE Transactions on Information Theory,1983,IT-29(7):543-551.
[6] 贺军,郭伟.一种新的消除V&V算法载波相位模糊的方法[J].电子与信息学报,2006,28(5):836-839.
[7] 王戈,沈智翔,于宏毅.基于期望最大化算法的联合符号检测和相位估计算法[J].吉林大学学报(工学版),2014,44(2):497-501.
[8] MOENECLAEY M,JONGHE G D.ML-oriented NDA Carrier Synchronization for General Rotationally Symmetric Signal Constellations[J].IEEE Transactions on Communications,1994,42(8):2531-2533.
[9] CHEN L,KUSAKA H,KOMINAMI M.Blind Phase Recovery in QAM Communication Systems Using Higher Order Statistics[J].IEEE Signal Processing Letters,1996,3(5):147-149.
[10] GEORGHIADES C N.Blind Carrier Phase Acquisition for QAM Constellations[J].IEEE Transactions on Communications,1997,45(11):1477-1486.
[11] 冯祥,李建东.基于循环累积量的QAM信号载波相位估计算法[J].国防科技大学学报,2006,28(1):48-76.
[12] 许华,郭建新,郑辉.高阶QAM 信号的多级盲相位估计方法及其性能仿真[J].系统仿真学报,2004,16(7):1408-1416.
[13] 蒋立平,付锐,吉训生.全数字载波捕获算法[J].南京理工大学学报,2002,16(1):15-19.
[14] 许华,王巍,郑辉.高阶QAM信号的盲载波相位估计[J].无线电通信技术,2004,30(3):53-56.
[15] DAMICO A A,DANDREA A N.Feedforward Joint Phase and Timing Estimation with OQPSK Modulation[J].IEEE Transactions On Vehicular Technology,1999,48(3):824-832.
[16] 赵树杰,赵建勋.信号检测与估计理论[M].北京:清华大学出版社,2005:260-264.
[17] DANDREA A N,MENGALI U,REGGIANNINI R.The Modified Cramer-Rao Bound and Its Application to Synchronization Problems[J].IEEE Transactions on Communications,1994,42(2):1391-1399.
[18] TAVARES G N,TAVARES L M,PETROLINO A.On the True Cramer-Rao Lower Bound for Data-aided Carrier-phase-independent Frequency Offset and Symbol Timing Estimation[J].IEEE Transactions on Communications,2010,58(2):442-447.